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Finding the Third Proportional to 400,109 and 619,334

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Solution

The third proportional to 400,109 and 619,334 is: 958,675.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,109 : 619,334 = 619,334 : x
  2. Step 2: Convert to fraction form
    400,109/619,334 = 619,334/x
  3. Step 3: Cross multiply
    400,109x = 619,334 × 619,334
  4. Step 4: Simplify right side
    400,109x = 383,574,603,556
  5. Step 5: Solve for x
    x = 383,574,603,556/400,109
  6. Step 6: Final answer
    x = 958,675.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.